Answer:
[tex]m\measuredangle8=110^o[/tex]Explanation:
The angles 4 and 8 are equal; therefore,
[tex]m\measuredangle8=m\measuredangle4[/tex][tex]3x+20=x+80[/tex]Subtracting x from both sides gives
[tex]2x+20=80[/tex]Subtracting 20 from both sides gives
[tex]2x=80-20[/tex][tex]2x=60[/tex]Finally, dividing both sides by 2 gives
[tex]\boxed{x=30.}[/tex]With the value of x in hand, we now find the measure of angle 8.
[tex]m\measuredangle8=x+80[/tex][tex]m\measuredangle8=30+80[/tex][tex]\boxed{m\measuredangle8=110^o\text{.}}[/tex]Hence, the measure of angle 8 is 110.
